JEE · NEET · AIIMS · BITSAT · KVPY

➡️ Master Motion in a Straight Line
NCERT Class 11 · Chapter 2

Real PYQs from top competitive exams — filter by exam, attempt each question, track your progress and submit to see your full score report.

KinematicsSUVATv-t GraphRelative MotionFree Fall
v = fλ
50
Real PYQs
5
Exam Bodies
15+
Years Covered
~7%
Exam Weightage
PYQs Overview
📈
Velocity–Time Graphs
Area = displacement; slope = acceleration — graph interpretation numericals.
★★★★★
91% Frequency
🔢
SUVAT Equations
v=u+at, s=ut+½at², v²=u²+2as — the backbone of 1D kinematics.
★★★★★
94% Frequency
⬇️
Free Fall & Projectile Drop
g=9.8 m/s², time of fall, velocity on impact.
★★★★☆
80% Frequency
🚗
Relative Motion (1D)
Relative velocity, meeting problems, train crossing problems.
★★★★☆
75% Frequency
📏
Instantaneous vs Average Velocity
Definitions, calculus-based interpretation, v = dx/dt.
★★★★☆
70% Frequency
📉
Non-Uniform Acceleration
x–t and v–t curves; area under a–t graph = Δv.
★★★☆☆
58% Frequency
Topic Frequency
SUVAT Equations 94%
v-t Graph Analysis 91%
Free Fall 80%
Relative Velocity 75%
Instantaneous Velocity 70%
Non-Uniform Acceleration 58%
Displacement–Time Graph 65%
💡 Did You Know?
  • SUVAT numericals in every competitive exam
  • v-t graph area questions — asked yearly since 2005
  • Free fall with initial velocity — 12× in JEE/NEET
  • Relative velocity — zero skips in BITSAT
  • Numericals = ~80% of chapter marks
Key Takeaways
🔑
Three SUVAT equations cover all 1D kinematics
Know which two variables are unknown — choose the right equation.
Area under v–t graph = displacement
Area above x-axis = +ve displacement; below = –ve.
📐
Slope of x–t graph = instantaneous velocity
Concave up = accelerating; concave down = decelerating.
🌊
Free fall: a = –g = –9.8 m/s²
Taking upward as positive: at max height, v = 0.
🧮
Relative velocity v_AB = v_A – v_B
For same direction: |v_A – v_B|. Opposite: |v_A + v_B|.
🎯
nth second formula: s_n = u + a(2n–1)/2
Distance in nth second — frequently tested in JEE.
Study Strategy
1
Definitions & GraphsDay 1–2
Distance/displacement, speed/velocity, x–t and v–t graphs.
2
SUVAT MasteryDay 3
Derive all three equations. Solve 30 numerical problems.
3
Free Fall & Vertical MotionDay 4
Both upward and downward throws. Time of flight, max height.
4
Relative MotionDay 5
1D relative velocity — meeting, overtaking, crossing problems.
5
nth Second & AdvancedDay 6
nth second formula, deceleration stopping problems.
6
Attempt All PYQsDay 7
Every v-t graph and SUVAT numerical PYQ available.
7
Mock TestDay 8
30-Q timed. SUVAT + graph interpretation = guaranteed marks.
🗓️ 8-Day Chapter Plan
Day 1–2 Definitions & Graphs
Day 3 SUVAT Mastery
Day 4 Free Fall & Vertical Motion
Day 5 Relative Motion
Day 6 nth Second & Advanced
Day 7 Attempt All PYQs
Day 8 Mock Test
🧠 Pro Tip: Draw the v–t graph for every problem before writing equations. It resolves 80% of sign-confusion mistakes.
🚀

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Motion in a Straight Line question?

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